The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Αποτελέσματα 6 - 10 από τα 73.
Σελίδα 8
... greater than the angle bcd ; therefore the angle adc is greater also than then is the angle bdc than the angle bcd . equal to db , the angle bd c is equal ( i . 5 ) to the been demonstrated to be greater than it ; which is b vertices ...
... greater than the angle bcd ; therefore the angle adc is greater also than then is the angle bdc than the angle bcd . equal to db , the angle bd c is equal ( i . 5 ) to the been demonstrated to be greater than it ; which is b vertices ...
Σελίδα 10
... the angle dbe is C equal to the angle cbe , the less to the greater , which is impossible ; therefore two straight lines cannot have a common segment . a b d PROPOSITION XII . — PROBLEM . To draw a straight 10 THE ELEMENTS OF EUCLID .
... the angle dbe is C equal to the angle cbe , the less to the greater , which is impossible ; therefore two straight lines cannot have a common segment . a b d PROPOSITION XII . — PROBLEM . To draw a straight 10 THE ELEMENTS OF EUCLID .
Σελίδα 12
... greater , which is im- possible ; therefore be is not in the same straight line with bc . And in like manner it may be demonstrated , that no other can be in the same straight line with it but bd , which therefore is in the same ...
... greater , which is im- possible ; therefore be is not in the same straight line with bc . And in like manner it may be demonstrated , that no other can be in the same straight line with it but bd , which therefore is in the same ...
Σελίδα 13
... greater than the angle e cf ; therefore the angle a cd is greater than b a d g \ bae . In the same manner , if the side b c be bisected , it may be demon- strated that the angle bcg , that is , ( i . 15 ) the angle a cd , is greater ...
... greater than the angle e cf ; therefore the angle a cd is greater than b a d g \ bae . In the same manner , if the side b c be bisected , it may be demon- strated that the angle bcg , that is , ( i . 15 ) the angle a cd , is greater ...
Σελίδα 14
... greater side of every triangle is opposite to the greater angle . d LET abc be a triangle , of which the side ac is greater than the side a b ; the angle abc is also greater than the angle bca . Because a c is greater than ab , make ( i ...
... greater side of every triangle is opposite to the greater angle . d LET abc be a triangle , of which the side ac is greater than the side a b ; the angle abc is also greater than the angle bca . Because a c is greater than ab , make ( i ...
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a b c abcd adjacent angles angle a cb angle abc angle bac angle edf angle equal base bc bc is equal bisected centre circle abc circumference bc describe diameter double draw equal angles equal straight lines equal to f equimultiples ex æquali exterior angle fore four magnitudes fourth given circle given straight line gnomon greater ratio greater than f inscribe less LET abc LET the straight likewise multiple opposite angle parallel parallelogram perpendicular produced Q. E. D. PROPOSITION rectangle a d rectangle contained remaining angle right angles segment semicircle shewn square of a c straight line a b straight line ab straight line bc tiple touches the circle triangle abc triangle def twice the rectangle